Drill #1 Let B = Briana’s age. Write an algebraic statement that represents the following situations: 1.One year more than Briana’s age 2.5 years less than Briana’s age 3. Twice Briana’s age
Drill #2 Write a mathematical expression for the following verbal expressions: 1.Five less than three times the number x 2.Nine more than the product of two and the number d to the third power 3. The area (A) is one-half of the product of the length (l) and the width (w). 4.Density (d) is the quotient of mass (m) and volume (V).
1-1 Variables and Expressions Objective: To write mathematical expressions for verbal expressions and to write verbal expressions for mathematical expressions.
Translating Math into English How do you translate the following operations into English? Addition Subtraction Multiplication Division
Words for Addition* More than Increased by The sum of Is added to Words for Subtraction* Less than Decreased by The difference of Is subtracted from
Words for Multiplication* The product of Twice (thrice) a number Is multiplied by Times Words for Division* The quotient of Is divided by Fractions (e.g. one third = divided by 3)
(1.) Variables and (2.) Algebraic Expressions ** 1.Variables – Symbols used to represent unspecified numbers or values. Any letter may be used. Examples: x, y, t 2.Algebraic Expression – an expression that consists of one or more numbers and variables together with one or more arithmetic operations. Examples: 3x + 5y + 1m(n)x + y
(3.) Factors and (4.) Products ** 3.Factor - Quantity being multiplied Ex: In the algebraic expression 5y, both 5 and y are factors. 4.Product – The result of multiplication. Ex: The product of 3 and 4 is 12.
(6.) Power, (7.) Base, and (8.) Exponent ** 6.Power – An expression in the form 7.Base – A number or variable that is being raised to a power. Ex: the variable x in the power above 8.Exponent - The number or variable being raised Ex: the variable n in the power above
Representations of powers * SymbolsVerbal ExpressionMeaning 5 to the first power5 5 to the second power or 5 squared 5 * 5 5 to the third power or 5 cubed5 * 5 * 5 5 to the fourth power5 * 5 * 5 * 5 3 times a to the fifth power3 * a * a * a * a * a x to the nth power x * x * x … * x n times
(9.) Evaluate** 9.Evaluate: Find the value Ex: Evaluate the following expression:
Homework Complete 1-1 Practice (on the back side of 1-1 Study Guide) Due Friday (tomorrow)
Notebook check tomorrow 5 Sections (Notes, Vocabulary, Classwork, Homework, Tests/Quizzes) Syllabus and Class Rules in the front Anticipation Guide (Notes) 1-1 Practice (Homework) 9 vocabulary terms (Vocabulary) Addition/Subtraction/Multiplication/Division (Notes) Powers Table (Notes)
Names/Numbers of Classmates Write down the names and phone numbers of at least 2 classmates Write them on the back side of the classroom rules